Dependence of polynomial chaos on random types of forces of KdV equations

DOI10.1016/j.apm.2011.09.086zbMath1252.60063OpenAlexW2043702007MaRDI QIDQ693397

Daeki Yoon, Hongjoong Kim, Yoon Tae Kim

Publication date: 7 December 2012

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.09.086

zbMATH Keywords

stochastic differential equationKdV equationspectral methodpolynomial chaos

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Applications of stochastic analysis (to PDEs, etc.) (60H30)

Related Items

A conservative fourth-order stable finite difference scheme for the generalized Rosenau-KdV equation in both 1D and 2D ⋮ Polynomial chaos for random fractional order differential equations ⋮ The stochastic Hopf bifurcation analysis in Brusselator system with random parameter ⋮ Dynamic analysis of the nonlinear chaotic system with multistochastic disturbances

Uses Software

• Matlab

Cites Work

• Numerical simulation of the stochastic Korteweg-de Vries equation
• Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos
• Numerical studies of the stochastic Korteweg-de Vries equation
• Wiener chaos expansions and numerical solutions of randomly forced equations of fluid mechanics
• The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• Linear Parabolic Stochastic PDE and Wiener Chaos
• Spectral Methods in MATLAB
• Stochastic Navier--Stokes Equations for Turbulent Flows
• The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
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